aaaaaaaaaaaaaaaaaaaaaaaaaabaaaaabaaaaababbaaaaabccbaaaaacacaaaaaacbacaaaababaaaabcabcaaaacaaaacaaccbaaaacacaaaacbcaaaaccaaaacccbaaabaaabaaaabaaaaabaabcaaabaacaaabaaccaaabbaaabbaaabcaaabbabcaaabbacaaaabbbaacaaabbcaaaabbcaabaaabbccccaaabcabaaaabcacaaabcacaaaabcbbcccaaacaaacaaccaaacabaaacbaaacbacaaaaacbbcaaaccaaacccaaabaabaaabaaaabaaabbbaaabaabbaaabaacababaababcaaababccaabacaabaaabacbacaaabacbacacaabacbccaabbaabbaaacbaaabbaaaccaabbabacaabbacaabbacabaabbbaccaabbbbaaaabbcaabbcaaabbcbcaccaabbccaabcaabcaaaabcacccaabcbbaaacaabccaabcccaacaacaaacaabaacaabbaacaabcccaaacaacaacaacacaacabbaabcaacabbacaaaacaccbaacbaacbaaaacaacbaccaabaacbbaacbbaaaacbbbbbaacbbcccbbaacbbccccbaacbcaacbcbabaacbcbcaaacbccbaccaaccaaccaaaccabaaccabbaaccacaaaccacbbaaccacbbbaaaccbaaccbaacbaaccbbaaccbbacbaaccbccaaaccbcccbaacccabaaaaacccbaaccccbcababaabaaabaaaabaaaacccaabaaabbacabaaabcbabaaacbaababaababaabaabaabaccbabaabbbabaabcaabaacbcabaabaacbcbabaaccacabaacccaacababababaaabababaacaabababbcbaabababccaababacababacacacababbabababbabaababcababcaababcabaabababccababcccccaabacabacaabacaaabacabcbabacaccabacbabacbaabacbaaaabacbacabaccaaacabaccacaabaccccccabbabbaabbaaabbaabcbaabbaaccbaaabbabababbabbbaabbabbbaaabbabbbbabbacaccacabbacbbcaabbaccabbbabbbaaabbbaaaabbbaabccabbbbbbbabbbbbbcabbbbccabbbbcccabbbcaabbbcacabbbcbaabbbcbbabbbcccccaabbcabbcaacabbcabacaabbcbabbcbabccbabbcbcabbccabcabcaabcaabcbcabcababcababccabcabbabcabbaabcabcabbbbcbabcabcababcabcbbbabcabccaabcacababbabcacbcababcacbccabcaccabcbabcbaabcbaaaaaabcbabaaababcbabacccabcbabcaabcbabcbbcabcbacbacabcbacccaabcbbabcbbcbabcbcbabcbcbababcbccabbabccabccaacbcabccababccabbcabccacccaabccbaaacbabccbaccabccbbabccbbaaabccbcaabccbcacabccbccabcccabcccbbbabcccccacacaacaaacaaaacaaaabbaaacaaacaaccacaaacbaacaabbacaabcbaaacaacaabaacaaccacaaccbacaaccbacaacaaccbbbacabacabaaacabaaaacabaaacaaacabcaacabcabcacabcbabacabcbcacabcccabcacacacacaacacaaacacaacabacacacbbcacacbacacbabaaacacbcbcbacaccacaccaccacacccaabaacaccccacbacbaacbaaacbaaaacbaabacbaaccacbabacbabcacbabccacacbacbbacbbacbbaacbbaabbacbbabcabacbbbacbbbaacbbbaaacaacbbbcacbbcacbbccacbbccacacbcacbcaabacbcabbcacbcabcacbacbcabcbacbcacacbcbbacbcbcacbccacbccababacbccabbbacbccabcbacbccbcbbaccaccaaccaacaccacaccacaaccacaaabbaccaccaccacccccaccbaccbacaccbacabbaccbbaccbbaacaccbbacaccbbbacaaccbbbcaccbbcbaccbbccccaaccbcacacccabbbacccbacccbbaacccbbabaccccaaabaccccabcaccccbacccccacccccaacccccbababaabaaabaaaabaabaaaacbaaaacbabaaabaabaaabbbbbaaabcbccbaaacbaaacbbcbaababcbbaabbbaabbbbaabbbcbaabbcbcbbaabbccbaabbccbbbaabcacbaabcacaccbaabccabaabccacbaacbaacaaabaacabbaabbaacacbaacbacababaacbbbaacbcbaacbcaaabbaacbcaccbbaaccababbabaaaababaaacbabaabbbcbabaacbababaacccbabababbababcabcbabacbabacaababacabbabacbacbabacbbbabaccbabbbabbababbacbabbaccbabbbbbabbbbbbabbbbcccbabbcabbcbbabbcbbabababbccbabbcccababcbabcababcaaaacbabcabbababcabcacbabcacbbabcacccbbabcbcbabccababccbbcbbabccccbacbacabacaaacbcbbacaabbacabbacabbbacabbacbacabbbcbbacacbacccbacacbcbacaccbaabacaccbaccbacbbacbabacbaabacbaaababacbaaacbacbaabbbabacbaacbabacbaacbcbbacbabbacbabbcbacbaccabbacbbacbbacbbbacbacbbbbcbbacbbbccbacbbcbacbbcabcabacbbcacaabacbccbaccaabaccaaabaccaaabbaccacbacccabacccacabacccacbabaccccbccbbbbbabbaabbaaabbaaaabbbaaabccbbaaacbbaaacacbbaabbccbbbaabcbbaacacbbaacacbbcbbaaccbbabbbabaaabbabaabbcabbababcbbabacbbabacbabbabaccabbabbbbabbacbbabbacbabbabbbbcbbbbabbccabbabcacbbabccbbabccbcbbacbbacaacbbbacabbbacababbacabbbbacabbabbacacabbbbacacbbbacbabbacbaacbbacbcccacbbaccacabbbbbbbabbbaabacacbbbaabbaabbbaabcbbbabbbbabacabbbabbbbbabcbbbabcaaabbbacbbbacaabbbbacaababbbbbbbbbabbbbaabbbbbbbbbbabbbbbcabbcbbbbcbbbbcaabbbbbbcabcccbbbbcbbababbbbcbcababbbbccbbbbcccababbbbcccbbbbcbbbcabbbcaabbbcabaaabbbcacaabbbcacbcacbbbcbacbbabbbccbbacbbbcccbbbcccbccbbbcbbcabbcaabbcaaaaacbbcaaaababbbcaabbbcaabcbbcaabcbbbcaacaacbbbcaacbbabbcabbbcababbcababbbcababbbbcabbabbcabcabbbcabcccabbcacbbcacaabbbcbbbcbaabbbcbacbbbcbacbacbbbcbbbbcbbbbbcbbcbabbcbcacbcabbcbcbcbbcbccbabbbccbbccaabbbccabbabbbccacbcbbccbaaaabbccbcabbccbcbabbcccbbbcccbacabbcccbcbbccccabccbcbcabcaaaaaacabcaaaabbabcaaacaccbcaabaaabcaabacbcaacbcaacabbcaacbbcaaccbcabbcabaacbcababbcababacbabcababcacbcabaccbcabbbcabbaaabbcabbaccbcabbbacbbcabbbcbcabbcbabbbcabcbacbcbcacabcacaabcbcacacbbbcacaccabcacbbcacbbbcacbbabaabcacbbcaabcaccbcaccaabcacccabcbbcbabcbaabcbaaaaabcbcbaacbcbabbcbacaabcbacbbcbaccaacbcbaccbaabcbbbcbbaaaacabcbbaacabbcbbacabcbbbbcbbbabbcbbbbbbcbbbcaabbcbbcabbcbbcbbcbbcbabcbcbcbcaabbcbcabacbcbcbcbbcbcbcababcbccabcabcbccacbabccbccabccaabccabbccababbcbbccabacbbabccabbbccabbbcbccabcbccacbccacabaacbccacbbcbbccacccbaabccbbccbaacbccbabcaabccbacaacabccbacbccabccbbaabbccbbbbbccbcbccbcacabccbcbabbbcccbcccabbbcccacbbcccbbbcccbbaaabcccbbcbcccbcccaabccccbccccacccbccccbbcbbcccccabbcbcccccaccabcccccbbccccccbcacaacaaacaaaabcaacaaaabcbcaaaacccaaabcaaabaccaaacabccaaaccacaaacccccaabcaabacaabaaabcaabacabbccaabbacaabbbbbacaabbccaabcbcbccaabcccaaacaaccaacacaacabcaacbbaacccaacbbbcacaaccacaacccacaacccccabcabaabcbccabaacbcabaacbbcabababcaacababcacaacabacababbcabacacabcabacccabbcabbacabbaaabbacabbaabaacabbabcabbabccabbabcbcabbacaccabbbcabbbbbcabbbbbbbcabbbbbccabbbbcbcacabbbcaacabbccabbcbbaccabbcbccabbcccabccabcaacabcaaacabcaaccbbcabcabbbccabcabccabcbaacccabcbacbccabcbbcacabcbbcaacabccbaacabcccbcccabcccccbcaccacacacaababcacacaabacbccacabcacabaacacacabacacacabacccacabccacaccacacacacacaccacacbaabcacacbbacacaccaccbcacbcacbacacbaaababcacbaabbcccacbaabccacacbabaaccacbabcbacacbbbcbcacbbccaccacbcbccaccacccaccaacaccaababcaccacaccaccbacaccbabcacccacacccacbcacccbcacccbcbacbcbacbaacbaaacbaaaacbaaaaabcbaaaaabacbaaacaaaccbaabaccbaabacbbcbaacabcaacbaaccacbabcbabacbabaacbababcbabbacbabbabcbacbabbcbaccbabbcbbbcbabccbabcabacbabcabbbcbabcacccacbabccbcccbaccbacacbacaccbacacaaccbacacbbcbacbcbacbbbabcbacbccbaccaacbaccbcbaccbacbbcbbacbbaacbbaaaacbbaabbcbcbbaacaacbbaacacbcbbaacccbbabcbbabacbbabbcbcbbabcbacbbacaccabcbbacbccccbbacccbbcbbbcbbbacbbbaacbbbaaabbbcbbbaabccbbbabcbbbabcccbbbacacbbbbcbbbbacbbbbbacbbcbbbccbbbcbacaacbbbcbbbacbbbcbccbccbbbccccbbccbbcacbbcaabaacbbcabbcbbcacccbbcbabcbbcbacbccbbcbbaacacbbcbccbbccabcacbbccbccbbcccaacacbbcccbcbbccccbbccbccbcacbcaaacbcaaaacbcaaaabccbcaaabbcbcbcaabbbcbcaacbcbcabaababcbcababaabcbcabbcbcabccbcabcabaacbcabcbbccbcacccbcacccaccbcbaabcacbcbbcbcbbacbcbbbacbcbbccbcbbcabccbcbcacbaccbcbcbcbcbcbbcbcbcbcbccaccbcbccbcbcbccbabcbcbcccbbbcbccaaabcbccaacccbccabbaccbccacbcccbccbcbccbacbccbaacacbccbacbcbccbbacbcccacbcccccbccccacccccaccaaaccaaaabbccaaaabcccaaababacccaaabcccaaabcccccaababacaccaabacccaabcacbccaabcbcccaabccaabccaabcccaaccaacccaacabcaccaacbccaacbbcccaaccccaaccbcbccaaccccccabccababbbccababcccabbccabbaccabbabccabbacccabbbaccabbbcbccabbcbcbbccabcccabcbabccccabcbccaccabcccbccacccacaabccacaacbcccacabcbccacacaccacbaaaccacbaabbaccacbacaccacbbaccccacbcbccaccccaccabccaccabbccaccacbaaccaccbcbabccbccbaccbaaccbaabcbaaccbaacaccbabccbabbcccbabbcccccbabccaabccbacccbacaacccbacbcccbacbcacccbbccbbaccbbabccbbaccaccbbbbaabbccbbbbccbaccbbbcabccccbbbcbaccbbcccbbcaabccbbcacacccbbcbccccccbbccaaaccbbccbccbbccbbbcccbcabccbcabccccbcbbbbbaccbcbcacaccbccccbccabccbcccccccccacccaaaabacccaacabcccabcccabacccaccccacacccacaabcccbcccbacccbaaacccbaaccccbabccccbacbccccbbaaccccbbbbbbbcccbbbbcaccccbcabacccbcacaaccccbcbbbaacccbcbbbbccccbcbcbcccbcbcbccccbcbccccccccccaabcccccbccbcccccccccccacccccaabbcccccbccbcccccccbc